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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 69r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.76.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. y = Haxtab) + ((ax+aC) fit gu a raX + ab. + 2a erb, 214) et y qapsuu tffacta -(t aa xp t pr ) ma
  2. pac
  3. - aax Gy +. aabl = 0 p. y - 29y Rax +4 aux = 4u axx = aabb = 2ac taa x
  4. 2a1))
  5. + aa cc
  6. 2ac -22abC
  7. ab +4 aabx 4aabX CC,
  8. lac agnacx anaxe +2aabc
  9. aabl + aa bb
  10. aacc + aabce
  11. et fit jy = 2aX - a l = 241 ( X + fbx + bc) araabe + raabe
  12. et y = Y(2ax + ab + 2a L(XX + bx + bc). Itaque Hoc ergo summari potest
  13. Gear summari etiam potest _ X = v - 2ab y + aabb,: raqus, sed hoc scimus aliunde
  14. 21
  15. aacc
  16. =ratibe
  17. Generalias y =H(mX + ab) + Y(nX +aC) Gy = n.X + ab + 2 (mx L ∞ 2 + (nX + ab, nX + ac)
  18. fint 1, 4 P = 2 MXI g y + mmXX + 24 (n 7b) X + aabl = (+ muX X (+ 4 acnx +aabC)
  19. RX
  20. a 2ab
  21. hac
  22. et fiit t - 2
  23. lab
  24. nn
  25. +
  26. D2mn
  27. visres aaacc
  28. (reamex
  29. (D 2anbx
  30. ran CX
  31. (Braabe
  32. naXXx ZaCmX +aacc nnXX
  33. +2acnX
  34. Emaxx
  35. A siet yy = nx + ab + n XX + abn X + aabe)
  36. ac MX
  37. nX + ac
  38. tabtix)
  39. racmat aacC = nnXD + 2ameX - aacc
  40. rabex Praabe +2mn F2anbX + 2aabc
  41. acax)
  42. (2an
  43. Erg. 1∞ (O+ 1a5) OB+aS+ 20 aD
  44. Erposumei poest y - 1 (nx +b a t 21 (imxx + abuXx. rar c))
  45. Et summan potest quadatura ratioulius. sanux ae + ba +2 Cnn X L abnXX + a bb)
  46. s
  47. aa
  48. dacmxx
  49. y= 10rA + seb +01+ 36 + 210DGS = yy
  50. ODgy + 0071 = 40095 fit s- 20 rgy + 9ODP =0
  51. 188
  52. sit e
  53. avs
  54. 4 8805
  55. +20980
  56. m
  57. -2985 + 9486
  58. 26986
  59. Bfit aa vo = aL MN + 2 aLMAPQ
  60. V =2GLMNVD + aULLMNAX
  61. + a pa
  62. =2 PZa
  63. (Dpda MXPZ
  64. au c
  65. aC M)
  66. sit B - p aD = mnXX + ab nx taabe, : pp
  67. ac mp
  68. (qua xpqe
  69. a0 = SatmX + a YBq. dabit aa Wv = aLM N + 2a Ya Lmapq et a v - 2a LMN VV + aa L InmM = (2a Lmap G)
  70. aupque
  71. a pBqV
  72. 2aapZ
  73. sid ha ipsi es conferri non potest identificari non pt. idem . si ficiet g
  74. aeLmapque
  75. a
  76. si sit y = ax + ab) + sCa X + a C) et ndro yt - 2ay, yy = - qu (a b + aC)
  77. 2ab
  78. 2ac
  79. fit y r(yu - 4 ax.) = (ab + ac) V- 1. quod si livc cas esset raXt abtac = v
  80. hac
  81. fietet fgy = (ab +a C) 1- 1 et y = (abrnc 1 (ab tac) -1
  82. raure
  83. ilib
  84. +aacC
  85. 2aabC

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 69r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0137?run=74